3r(11r+8)=0

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Solution for 3r(11r+8)=0 equation: 


Simplifying
3r(11r + 8) = 0

Reorder the terms:
3r(8 + 11r) = 0
(8 * 3r + 11r * 3r) = 0
(24r + 33r2) = 0

Solving
24r + 33r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(8 + 11r) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

Move all terms containing r to the left, all other terms to the right.

Simplifying
r = 0

Subproblem 2
Set the factor '(8 + 11r)' equal to zero and attempt to solve:

Simplifying
8 + 11r = 0

Solving
8 + 11r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 11r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 11r = 0 + -8
11r = 0 + -8

Combine like terms: 0 + -8 = -8
11r = -8

Divide each side by '11'.
r = -0.7272727273

Simplifying
r = -0.7272727273
Solution
r = {0, -0.7272727273}

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